what is 1 5/8 in decimal form?
The correct answer and explanation is:
To convert the mixed number 1 5/8 into decimal form, follow these steps:
- Separate the whole number and the fraction:
The mixed number is made up of a whole number (1) and a fraction (5/8). - Convert the fraction to a decimal:
To convert the fraction 5/8 into a decimal, divide the numerator (5) by the denominator (8): 5รท8=0.6255 \div 8 = 0.625 - Add the decimal to the whole number:
Now, add the decimal (0.625) to the whole number (1): 1+0.625=1.6251 + 0.625 = 1.625
Thus, 1 5/8 in decimal form is 1.625.
Explanation:
To understand this process fully, it helps to break down the steps into smaller parts.
- The whole number part, 1, remains unchanged in the decimal conversion.
- The fraction part, 5/8, requires division to convert it to a decimal. Since the numerator is 5 and the denominator is 8, you divide 5 by 8 to get 0.625. This step converts the fractional part into a decimal value.
- Finally, by adding the decimal result (0.625) to the whole number (1), you get the final decimal form, which is 1.625.
This method is straightforward and works for any mixed number. The key idea is to separate the whole number and fraction, convert the fraction into a decimal, and then combine the two parts.